Question

(Fog)(x) where f(x)=1/x^2+3 and g(x)= square root x-2

Answer 1

Answer:

(fog)(x) = 1/(x-2) + 3

Step-by-step explanation:

f(x) = 1/x² +3        g(x) = √(x-2)

(fog)(x) = f(g(x)) = f( √(x-2)) = 1/(√(x-2))² +3

(fog)(x) = 1/(x-2) + 3

Answer 2

f of g of x =(Fog)x = 1/ {($\sqrt{x-2}$)² +3 }

What is a composite function ?

A composite function is a function which is made from 2 or more than two functions combined as a single function.Here out of previous function is used as an input to the next function.

In the given question

f(x) = (1/x² + 3) and g(x) = $\sqrt{x-2}$

for (Fog)x we substitute x = $\sqrt{x-2}$ in f(x)

(Fog)x = 1/ {($\sqrt{x-2}$)² +3 }

Learn more about composite functions here :

https://brainly.com/question/20379727

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